What is the first derivative of 4-x^2 ?

The first derivative of 4-x^2 is -2x

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derivative of 4-x^2

derivative of

4 - x^{2}

- 2 x

Solution steps

\frac{d}{d x} (4 - x^{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (4) - \frac{d}{d x} (x^{2})

\frac{d}{d x} (4) = 0

\frac{d}{d x} (x^{2}) = 2 x

= 0 - 2 x

Simplify

= - 2 x

1 - x

x^{4}

f (x) = 7

(8, - 10), (- 10, - 8)

f (x) = e^{- x} ln (x), at x = 1